Abstract
We study the implications of the spontaneous and explicit Z(3) center symmetry breaking for the Polyakov loop susceptibilities. To this end, ratios of the susceptibilities of the real and imaginary parts, as well as of the modulus of the Polyakov loop are computed within an effective model using a color group integration scheme. We show that the essential features of the lattice QCD results of these ratios can be successfully captured by the effective approach. Furthermore we discuss a novel scaling relation in one of these ratios involving the explicit breaking field, volume, and temperature.
Highlights
Understanding deconfinement and chiral symmetry restoration, as well as exploring their far-reaching consequences [1,2,3] remain challenging in the study of heavy ion collisions
We study the implications of the spontaneous and explicit Z(3) center symmetry breaking for the Polyakov loop susceptibilities
II we review the derivation of the Polyakov loop susceptibilities using the color group integration approach
Summary
Understanding deconfinement and chiral symmetry restoration, as well as exploring their far-reaching consequences [1,2,3] remain challenging in the study of heavy ion collisions. The results are still marred by issues of renormalization scheme dependence and it is far from clear how to connect them to calculations made in an effective model Despite these difficulties, we stress that there are strong theoretical motivations for studying and understanding these ratios. The widely used order parameter, i.e., the renormalized Polyakov loop computed by LQCD, is a renormalization scheme dependent quantity [35,39] This calls into question the physical relevance of the deconfinement features deduced from it, for example, the transition temperature Td [10,11] extracted from its inflection point.
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